144 is 45% of the total customers who took the survey.
Total customers who took survey= 144 × 100/45 = 320
Information : The given hyperbola is a horizontal hylerbola with its centre (3 , -5) and one of its focus at (9 , -5) and vertex at (7 , -5) and as we can see that the focus and vertex have same y - coordinates, it must have its Transverse axis on line y = - 5.
Now,
it's vertex is given, I.e (7 , -5)
so, length of semi transverse axis will be equal to distance of vertex from centre, i.e
Now, it's focus can be represented as ;

so,
and we know, a = 4



Now, let's find the measure of semi - conjugate axis (b)






So, it's time to write the equation of hyperbola, as we already have the values of a and b ~

[ plug in the values, and h = x - coordinate of centre, and k = y - coordinate of centre ]

Answer:
Step-by-step explanation:
3x-2=-1
3x = -1 + 2
3x = 1
x = 1/3
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0 and 2
f(x) = g(x) will be the input or x value at which f and g have the same output or y value. Look in the table where two numbers repeat right next to each other.
−1 −7/2 −9/2
0 −3 −3
1 −2 −3/2
2 0 0
3 4 3/2
4 12 3
5 28 9/2
There are two solutions to f(x) = g(x) which are x=0 and x=2.